On Liouville's formula
wrobel
Let ##A(t)## be an ##m \times m## matrix continuously dependent on ##t \in \mathbb{R},## and let X be the fundamental matrix satisfying $$\dot X = A(t)X, \quad X(0) = E.$$ In the text attached below it is shown that Liouville's formula $$\det X(t) = e^{\int_0^t \mathrm{tr} A(s) ds},$$ is a... Read more